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Finding the Fourth Proportional to 456.73, 684.07 and 353.70

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Solution

The fourth proportional to 456.73, 684.07 and 353.70 is: 529.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.73 : 684.07 = 353.70 : x
  2. Step 2: Convert to fraction form
    456.73/684.07 = 353.70/x
  3. Step 3: Cross multiply
    456.73x = 684.07 × 353.70
  4. Step 4: Simplify right side
    456.73x = 241,952.94
  5. Step 5: Solve for x
    x = 241,952.94/456.73
  6. Step 6: Final answer
    x = 529.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.